Word Problem Divide fractions

Question

A new custodian cleaned 2/3 of a classroom in ten minutes. This was only 7/8 of what an experienced custodian could do. What part of a room could an experienced custodian clean in ten minutes

Answer 1

e = what an experienced custodian could do.

 

This    was     7/8        of      e.              "This" is what the new custodian could do.

  2/3    =       7/8          ·      e.               Multiply both sides by 8/7

16/21  =                              e.

 

The experienced custodian could do 16/21 of the work in 10 minutes.